Atkin-Lehner |
2+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
85918s |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2085170404744 = -1 · 23 · 76 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ -2 3 7- -6 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30332,-2036958] |
[a1,a2,a3,a4,a6] |
Generators |
[220:1286:1] |
Generators of the group modulo torsion |
j |
-23680554521257/16000264 |
j-invariant |
L |
3.9486871957738 |
L(r)(E,1)/r! |
Ω |
0.18087494559391 |
Real period |
R |
1.2128352568345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918br2 |
Quadratic twists by: -19 |